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Finding the Fourth Proportional to 11,407.10, 17,114.76 and 8,145.77

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Solution

The fourth proportional to 11,407.10, 17,114.76 and 8,145.77 is: 12,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.10 : 17,114.76 = 8,145.77 : x
  2. Step 2: Convert to fraction form
    11,407.10/17,114.76 = 8,145.77/x
  3. Step 3: Cross multiply
    11,407.10x = 17,114.76 × 8,145.77
  4. Step 4: Simplify right side
    11,407.10x = 139,412,812.99
  5. Step 5: Solve for x
    x = 139,412,812.99/11,407.10
  6. Step 6: Final answer
    x = 12,221.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.